Question 1

1. What a relation R in a set A is called ? , if (a, b) $\in$ R $\Rightarrow$ (b, a) $\in$ R $\forall$ a, b $\in$ A

Accepted Answer

Symmetric

Answer

Reflexive

Answer

Equivalence

Answer

Transitive

Question 2

2. What is an equivalence relation ?

Accepted Answer

if relation is reflexive, symmetric and transitive

Answer

if relation is not reflexive, but it is symmetric and transitive

Answer

if relation is reflexive, symmetric but not transitive

Answer

if relation is reflexive & transitive but not symmetric

Question 3

3. Relation R in the set R & defined as R = { (a, b) : a $\Rightarrow$ b }, it is ..........

Accepted Answer

reflexive but not symmetric

Answer

symmetric but not reflexive

Answer

not reflexive

Answer

symmetric

Question 4

4. If x₁= x₂ $\in$ f(x₁) = f(x₂) $\forall$ x_1, x₂ $\in$ X. It is a

Accepted Answer

one - one function

Answer

into function

Answer

one - one & onto function

Answer

onto function

Question 5

5. If f : R $\rightarrow$ R be defined as f(x) = 3x , then f is :

Accepted Answer

1 - 1 & onto

Answer

1 - 1 & not onto

Answer

many one & onto

Answer

neither 1 - 1 & nor onto

Question 6

6. Are f and g both necessarily onto, if gof is onto?

Accepted Answer

f is not onto

Answer

g is onto

Answer

f is onto

Answer

f and g both are onto

Question 7

7. f(x) = 8 x³ & g(x) = x^{$\frac{1}{3}$}find gof

Accepted Answer

2x

Answer

8x

Answer

8 x2

Answer

2 x2

Question 8

8. If f(x) = 3x+5 is 1-1 & onto function, what is f ^-1(x) ?

Accepted Answer

$\frac{x-5}{3}$

Answer

3x+5

Answer

$\frac{x-5}{3}$

Answer

None

Question 9

9. If f(x)= x²& g(x) = 2x+3, then gof (-1) is

Accepted Answer

5

Answer

1

Answer

2

Answer

0

Question 10

10. If ' f ' is invertible function then f is

Accepted Answer

1-1 & onto

Answer

onto only

Answer

1-1 only

Answer

1-1 but not onto

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